---- This page is obsolete. We moved to http://schubert.math-inf.uni-greifswald.de. ----

Research Group PD Dr. Michael Baake

Institut für Theoretische Physik
Universität Tübingen
Auf der Morgenstelle 14
D-72076 Tübingen, GERMANY
tel: ++ 49-7071-29-76099
fax: ++ 49-7071-29-5604

Preprints & Recent Articles

  • Mathematical Diffraction Theory

  • Algebra, Combinatorics and Number Theory

  • Aperiodic Spin Systems

  • Computational Physics

  • Geometry of Aperiodic Crystals

  • Dynamical Systems

  • Theoretical Biology

  • The papers can be downloaded as gzipped postscript files.


    Mathematical Diffraction Theory

    Baake M 2001 Diffraction of weighted lattice subsets
    preprint (size: 87 kB)

    Baake M and Höffe M 1999 Diffraction of random tilings: some rigorous results
    J. Stat. Phys. 99 219-261; math-ph/9904005 (size: 370 kB)

    Baake M and Moody R V 1998 Diffractive point sets with entropy
    J. Phys. A: Math. Gen. 31 9023-39, math-ph/9809002 (size: 105 kB)

    Baake M, Moody R V and Pleasants P A B 1999 Diffraction from visible lattice points and k-th power free integers
    math.MG/9906132; to appear in Discr. Math. (size: 130 kB)

    Baake M, Moody R V and Schlottmann M 1998 Limit-(quasi-)periodic point sets as quasicrystals with p-adic internal spaces
    J. Phys. A: Math. Gen. 31 5755-65, math-ph/99011008 (size: 89 kB)

    Höffe M and Baake M 2000 Surprises in Diffuse Scattering
    Z. Kristallogr. 215 (2000) 441-444 (one minor correction); math-ph/0004022 (size: 1.7 MB)

    Höffe M 1999 Diffraction of the Dart-Rhombus Random Tiling
    Mat. Science Eng. A , to appear; math-ph/9911014 (size: 542 kB)

    Algebra, Combinatorics and Number Theory

    Baake M and Moody R V 1999 Similarity submodules and root systems in four dimensions
    Can. J. Math. 51 1258-1276, math.MG/9904028 (size:120 kB)

    Baake M and Moody R V 1998 Similarity submodules and semigroups
    in: Quasicrystals and Discrete Geometry ed Patera J
    Fields Institute Monographs, vol. 10 AMS, Providence, RI (1998) pp 1-13 (size: 86 kB)

    Baake M and Moody R V 1998 Invariant submodules and semigroups of self-similarities for Fibonacci modules
    in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World Scientific (1998) pp 21-27, math-ph/9809008 (size: 56 kB)

    Aperiodic Spin Systems

    Hermisson J 2000 Aperiodic and correlated disorder in XY-chains: exact results
    J. Phys. A: Math. Gen. 33 57-69, cond-mat/9808238 (size: 105 kB)

    Hermisson J 1999 Renormalization of two-dimensional Ising systems with irrelevant, marginal and relevant aperiodic (dis)order
    Mat. Science Eng. A , to appear (size: 67 kB)

    Hermisson J and Grimm U 1998 Surface properties of Aperiodic Ising quantum chains
    Phys. Rev. B 57 673-6, cond-mat/9711096 (size: 60 kB)

    Hermisson J, Grimm U and Baake M 1997 Aperiodic Ising quantum chains
    J. Phys. A: Math. Gen. 30 7315-35, cond-mat/9706106 (size: 138 kB)

    Redner O and Baake M 2000 Invaded cluster algorithm for critical properties of periodic and aperiodic planar Ising models
    J. Phys. A: Math. Gen. 33 3097-109, cond-mat/9910136 (size: 108 kB)

    Computational Physics

    Chayes L, Machta J and Redner O 1998 Graphical Representations for Ising Systems in External Fields (61KB)
    J. Stat. Phys. 93 17-32, cond-mat/9806312 (size: 62 kB)

    Redner O, Machta J and Chayes L 1998 Graphical representations and cluster algorithms for critical points with fields and figures 1 and 2
    Phys. Rev. E 58 2749-2752, cond-mat/9802063 (sizes: 38 kB, 4 kB, 4 kB)

    Geometry of Aperiodic Crystals

    Baake M and Moody R V 2000 Self-Similar Measures for Quasicrystals
    in: Directions in Mathematical Quasicrystals eds Baake M and Moody R V
    CRM Monograph Series, AMS, Providence, RI (2000) in press; math.MG/0008063 (size: 290 kB)

    Schlottmann M 2000 Generalized Model Sets and Dynamical Systems
    in: Directions in Mathematical Quasicrystals eds Baake M and Moody R V
    CRM Monograph Series, AMS, Providence, RI (2000) in press (size: 100 kB)

    Baake M 1998 A Guide to Mathematical Quasicrystals
    in: Quasicrystals eds Suck J-B, Schreiber M and Häußler P (Berlin: Springer) in press, math-ph/9901014 (size: 418 kB)

    Schlottmann M 1998 Cut-and-Project Sets in Locally Compact Abelian Groups
    in: Quasicrystals and Discrete Geometry ed Patera J
    Fields Institute Monographs, vol. 10 AMS, Providence, RI (1998) pp 247-264 (size: 105 kB)

    Baake M and Gähler F 1998 Symmetry structure of the Elser-Sloane quasicrystal
    in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World Scientific (1998) pp 63-67, cond-mat/9809100 (size: 47 kB)

    Baake M, Hermisson J and Pleasants P A B 1997 The torus parametrization of quasiperiodic LI-classes
    J. Phys. A: Math. Gen. 30 3029-56 (size: 211 kB)

    Baake M and Moody R V 1998 Multi-component model sets and invariant densities
    in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World Scientific (1998) pp 9-20, math-ph/9809005 (size: 617 kB)

    Baake M and Moody R V 1998 Self-similarities and invariant densities for model sets
    in: Algebraic Methods and Theoretical Physics ed Aubin Y St (New York: Springer) in press, math-ph/9809006 (size: 135 kB)

    Hermisson J, Richard C and Baake M 1997 A guide to the symmetry structure of quasiperiodic tiling classes
    J. Phys. I France 7 1003-18 (size: 117 kB)

    Richard C 1999 An alternative view on quasicrystalline random tilings
    J. Phys. A: Math. Gen. 32 8823-8829, cond-mat/9907262 (size: 60 kB)

    Richard C, Höffe M, Hermisson J and Baake M 1998 Random tilings: concepts and examples
    J. Phys. A: Math. Gen. 31 6385-408, cond-mat/9712267 (size: 2.1 MB)

    Dynamical Systems

    Baake M 1997 Reversing symmetry groups of cat maps
    in: Group 21 vol. II eds Doebner H-D, Scherer W and Schulte C (Singapore: World Scientific) 860-4, math.DS/9911061 (size: 49 kB)

    Baake M and Roberts J A G 1993 Symmetries and reversing symmetries of trace maps
    to appear in Proc. of the 3rd Intern. Wigner Symp. Oxford (1993) special issue of Int. J. Mod. Phys. B., math.DS/9901124 (size: 55 kB)
    (this issue might never really appear in print ...)

    Baake M and Roberts J A G 1997 Reversing symmetry group of GL(2,Z) and PGL(2,Z) matrices with connections to cat maps and trace maps
    J. Phys. A: Math. Gen. 30 1549-73 (size: 136 kB)

    Theoretical Biology

    Baake E, Baake M and Wagner H 1997 The Ising quantum chain is equivalent to a model of biological evolution
    Phys. Rev. Lett. 78 559-62 (size: 64 kB); and (Erratum) Phys. Rev. Lett. 79 1782 (size: 22 kB)

    Baake E, Baake M and Wagner H 1998 Quantum mechanics versus classical probability in biological evolution
    Phys. Rev. E 57 1191-2 (size: 46 kB)

    Hermisson J, Wagner H and Baake M 2000 Four-state quantum chain as a model of sequence evolution
    J. Stat. Phys. 102 315-43 (size: 142 kB)

    Wagner H, Baake E and Gerisch T 1998 Ising quantum chain and sequence evolution
    J. Stat. Phys. 92 1017-52 (size: 356 kB)


    Research Group Page
    Oliver Redner
    oliver.redner@uni-tuebingen.de
    last update: 08.03.01